Observer design for systems with nonsmall and unknown time-varying delay

Alexandre Seuret 1 Thierry Floquet 2, 3 Jean-Pierre Richard 2, 3 Sarah Spurgeon 1
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper deals with the design of observers for linear systems with unknown, time-varying, but bounded delays (on the state and on the input). In this work, the problem is solved for a class of systems by combining the unknown input observer approach with an adequate choice of a Lyapunov-Krasovskii functional for non small delay systems. This result provides workable conditions in terms of rank assumptions and LMI conditions. The dynamic properties of the observer are also analyzed. A 4th-order example is used to demonstrate the feasibility of the proposed solution.
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Submitted on : Tuesday, October 16, 2007 - 4:41:08 PM
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Alexandre Seuret, Thierry Floquet, Jean-Pierre Richard, Sarah Spurgeon. Observer design for systems with nonsmall and unknown time-varying delay. TDS'07, IFAC Workshop on Time Delay Systems, IFAC, Sep 2007, Nantes, France. ⟨inria-00179798⟩

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